The area of sector JLK is `3pi ` in.`^2` . Find the measure of arc JK.

### 2 Answers | Add Yours

Area of the entire circle `A=pir^2` is `36pi.`

Since the area of the sector is `3pi` , then this represents `(3pi)/(36pi)` or `1/12.`

Therefore this arc represents `1/12` of the entire circle of 360 degrees.

So, this means `1/12* 360 = 30.`

**Therefore arc JK = 30 degrees.**` `

Determine the length of arc JK as `1/12` of the whole circumference:

Circumference=`2pi(6 `in.`)=12pi`in.

Length of arc JK`=1/12 (12pi)` in.` ``=pi` in.

**Therefore the length of arc JK is 3.1416 in.**

### Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes